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But Build is already part of previous riders' worlds.... Somehow, given how crossovers between current and next happen every time.

What I'm trying to say is Kamen Rider really doesn't care about continuity.

Did you not watch Heisei generations final? It explained that Build is set in a parallel world whereas previous shows since W have all been taking place in the same world (that, we already knew), no matter how little sense it made at times. You could handwave inconsistencies most of the time though, but Build writers had to come up with that because the setting for Build, with the Sky Wall having been up for ten years, is completely incompatible with that of previous series. That's the reason they care more about continuity compared to previous series.

Ok, given the description, Zi-O is basically a time traveling Decade. Now I'm thinking that rather than to integrate Build into the main universe, they will create a new one which Zi-0 will explore to allow us to see the differences.

I thought it was weird that they would just make an ordinary Rider for the last Heisei series. Quite a few people initially expected a new Decade series, instead it seems we're getting Decade 2.0.